5(3y+3)=3(4y+10)

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Solution for 5(3y+3)=3(4y+10) equation:


Simplifying
5(3y + 3) = 3(4y + 10)

Reorder the terms:
5(3 + 3y) = 3(4y + 10)
(3 * 5 + 3y * 5) = 3(4y + 10)
(15 + 15y) = 3(4y + 10)

Reorder the terms:
15 + 15y = 3(10 + 4y)
15 + 15y = (10 * 3 + 4y * 3)
15 + 15y = (30 + 12y)

Solving
15 + 15y = 30 + 12y

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '-12y' to each side of the equation.
15 + 15y + -12y = 30 + 12y + -12y

Combine like terms: 15y + -12y = 3y
15 + 3y = 30 + 12y + -12y

Combine like terms: 12y + -12y = 0
15 + 3y = 30 + 0
15 + 3y = 30

Add '-15' to each side of the equation.
15 + -15 + 3y = 30 + -15

Combine like terms: 15 + -15 = 0
0 + 3y = 30 + -15
3y = 30 + -15

Combine like terms: 30 + -15 = 15
3y = 15

Divide each side by '3'.
y = 5

Simplifying
y = 5

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